the school bands sells carnations on Valentine's day for $2 each. They buy the carnations from a florist for $0.50 each , plus $16 delivery charge . how will i put this in a system of equation .
That did not answer the question
To set up a system of equations for this situation, we need to define the variables involved. Let's use the following variables:
Let x = the number of carnations bought from the florist.
Let y = the total cost of buying carnations from the florist.
Based on the given information, we know that each carnation costs $0.50, and there is a $16 delivery charge. Therefore, the total cost of buying x carnations can be calculated as:
y = 0.50x + 16
Now, let's define another variable:
Let z = the number of carnations sold by the school band.
Let w = the total revenue generated from selling carnations.
Since each carnation is sold for $2, the total revenue from selling z carnations can be calculated as:
w = 2z
Now, we need to set up a system of equations by equating the cost of buying carnations with the revenue generated from selling them. This can be expressed as:
y = w
Substituting the earlier equations for y and w, we get:
0.50x + 16 = 2z
So the system of equations for this situation is:
0.50x + 16 = 2z
0.50x + 16 = 2z
Simplifying these equations, you will have a system of equations that represents the given situation.